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A Corollary of the B-function Lemma

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2011

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Birkhäuser Basel
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Beilinson, Alexander, and Dennis Gaitsgory. 2011. A corollary of the b-function lemma. Selecta Mathematica, ns., 18(2): 319-327.

Abstract

Let (X) be an algebraic variety, (f) a regular function, (j:U \hookrightarrow X) the complement to the locus of vanishing of (f), and (M) a holonomic D-module on (U). Consider the (D_U[s])-module (M\otimes "f^s"). The goal of this note is to describe all (D_X[s])-submodules (N \hookrightarrow j_(M\otimes "f^s")) such that (j^(N)\simeq M\otimes "f^s").

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